2003/10/18 by Jian Zhou, Zhou, Jian · 2 citations
Mathematics · Physics and Astronomy · #Advanced Algebra and Geometry #Algebraic Geometry and Number Theory #Black Holes and Theoretical Physics #math-ph #math.AG #math.MP
paper · pdf · doi:10.48550/arxiv.math/0310283
arxiv created 2003/10/18 · arxiv updated 2009/12/01
We prove Iqbal's conjecture on the relationship between the free energy of closed string theory in local toric geometry and the Wess-Zumino-Witten model. This is achieved by first reformulating the calculations of the free energy by localization techniques in terms of suitable Feynman rule, then exploiting a realization of the Feynman rule by free bosons. We also use a formula of Hodge integrals conjectured by the author and proved jointly with Chiu-Chu Melissa Liu and Kefeng Liu.